Atkin-Lehner |
7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2093j |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
760 |
Modular degree for the optimal curve |
Δ |
5025293 = 75 · 13 · 23 |
Discriminant |
Eigenvalues |
2 2 2 7- 3 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-182,-881] |
[a1,a2,a3,a4,a6] |
j |
670381355008/5025293 |
j-invariant |
L |
6.4990414579565 |
L(r)(E,1)/r! |
Ω |
1.2998082915913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33488r1 18837m1 52325b1 14651k1 |
Quadratic twists by: -4 -3 5 -7 |